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On the generalized Wright function. (English) Zbl 1027.33015
Summary: The paper is devoted to the study of the generalized Wright function. Conditions for the existence of p Ψ q (z) are proved. The representation of the function in terms of the Mellin-Barnes integral and of the H-function are etablished. Special cases, involving the Mittag-Leffler function and its generalizations, are considered. The obtained results imply more precisely the known results.

MSC:
33E12Mittag-Leffler functions and generalizations
33C60Hypergeometric integrals and functions defined by them